Highest Common Factor of 996, 1958, 4732 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 996, 1958, 4732 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 996, 1958, 4732 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 996, 1958, 4732 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 996, 1958, 4732 is 2.
HCF(996, 1958, 4732) = 2
HCF of 996, 1958, 4732 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 996, 1958, 4732 is 2.
Highest Common Factor of 996,1958,4732 is 2
Step 1: Since 1958 > 996, we apply the division lemma to 1958 and 996, to get
1958 = 996 x 1 + 962
Step 2: Since the reminder 996 ≠ 0, we apply division lemma to 962 and 996, to get
996 = 962 x 1 + 34
Step 3: We consider the new divisor 962 and the new remainder 34, and apply the division lemma to get
962 = 34 x 28 + 10
We consider the new divisor 34 and the new remainder 10,and apply the division lemma to get
34 = 10 x 3 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 996 and 1958 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(34,10) = HCF(962,34) = HCF(996,962) = HCF(1958,996) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4732 > 2, we apply the division lemma to 4732 and 2, to get
4732 = 2 x 2366 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 4732 is 2
Notice that 2 = HCF(4732,2) .
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Frequently Asked Questions on HCF of 996, 1958, 4732 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 996, 1958, 4732?
Answer: HCF of 996, 1958, 4732 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 996, 1958, 4732 using Euclid's Algorithm?
Answer: For arbitrary numbers 996, 1958, 4732 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.